If x : y = 2 : 3 , y : z = 4 : 7 , then ...

If `x : y = 2 : 3 , y : z = 4 : 7 `, then find `x : y : z`.

Text Solution

Verified by Experts

We have , ` x : y = (2 : 3) xx 4 = 8 : 12 ` …………………(1)
` y : z = (4 : 7) xx 3 = 12 : 21 ` …………………….. (2)
[ Here y has been made equal.]
` :. X : y : z = 8 : 12 : 21 `.

Topper's Solved these Questions

RATIO AND PROPORTION
CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Long Answer Type Questions)|4 Videos
RATIO AND PROPORTION
CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Very Short-Answer Type Questions) MCQs|5 Videos
RATIO AND PROPORTION
CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Very short-answer type questions) Fill in the blanks|1 Videos
QUADRATIC SURDS
CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos
RECTANGULAR PARALLELOPIPED OR CUBOID
CALCUTTA BOOK HOUSE|Exercise EXERCISE-(MCQs)|40 Videos

Similar Questions

Explore conceptually related problems

If x = y = 222 and z = 223, then find the value of x^(3)+y^(3)+z^(3)-3xyz

x varies directly with y and inversely with z if y y =4 ,z=5, then x=3 . Again ,if y=16 , z=30 , then find the value of x .

If (1)/(root(3)(4) + root(3)(2) + 1) = xroot(3)(4) + y root(3)(2) + z , where x, y and z are rational, then find the value of x,y and z

Solve by matrix inversion method the following system of equations. x + y + z = 6, x + 2z = 7, 3x + y + z = 12

If x > y > z >0, then find the value of cot^(-1)((x y+1)/(x-y))+cot^(-1)((y z+1)/(z y-z))+cot^(-1)((z x+1)/(z-x))

If log_(3) y = x and log_(2) z = x , " find " 72^(x) in terms of y and z.

If A = [(1,2,-3),(2,3,2),(3,-3,-4)] , find A^(-1) and hance solve the system of linear equations: x + 2y - 3z = -4, 2x + 3y + 2z = 2, 3x - 3y -4z = 11

If x prop y and y prop z , then prove that (x^7+y^7 +z^7) prop (x^5y^2 +x^3z^4 +y^5z^2)

If x,y,z, in R such that x+y+z=4, x^2+y^2+z^2=6 then find the range of x.

The three adjacent surfaces of cuboid are x sq. unit, y sq. unit and z sq. unit. The length of its one of the diagonal is Option 1 (xy/z+yz/x+zx/y)^(1/2) Option 2 ( z x/ y + x y/ z + y z/ x )^(1/2) Option 3 ( x y/ z + y z/ x + z x/ y ) Option 4 ( z y/ x + y z/ x + x y/ z )

CALCUTTA BOOK HOUSE-RATIO AND PROPORTION-EXAMPLES (Short-answer type questions)

Express the following quantities as a ratio . Also write which of them...
Text Solution
|
Find the mixed ratios of the ratios a/b : c , b/c : a , c/a : b.
Text Solution
|
Calculate what ratio and x^(2) : yz will form the mixed ratio xy : ...
Text Solution
|
Find the compound ratio of the inverse ratios of the ratios x^(2) : (...
Text Solution
|
Find the compound ratio of the ratios (x + y) : (x - y), (x^(2) + y^(...
Text Solution
|
If A : B = 2 : 3 , B : C = 4 : 5 " and " C : D = 6 : 7 , then find A :...
Text Solution
|
If x : y = 2 : 3 , y : z = 4 : 7 , then find x : y : z.
Text Solution
|
If x : y = 3 : 4, then find (3y - x) : (2 x + y).
Text Solution
|
If p : q = 5 : 7 " and " p - q = - 4, then find the value of (3p + 4...
Text Solution
|
If (5x - 3y) : (2x + 4y) = 11 : 12, then find x : y.
Text Solution
|
If (10 x + 3y) : (5x + 2y) = 9 : 5, then show that (2x + y) : (x + 2y)...
Text Solution
|
What term should be subtracted each of the ratio a : b to make the rat...
Text Solution
|
What term should be added to antecedent and subtracted from consequent...
Text Solution
|
If a/2 = b/3 = c/4 = (2a - 3b + 4c)/p, then find the value of P .
Text Solution
|
If (3x-5y)/(3x+5y) = 1/2. Then find the value of (3x^(2)-5y^(2))/(3x^(...
Text Solution
|
If a : b = 3 : 4 " and " x : y = 5 : 7, then find the value of (3ax...
Text Solution
|
If x , 12 , y, 27 are in continued proportion, then find the positive...
Text Solution
|
If a : b = 3 : 2 " and " b : c = 3 : 2 , then find the value of the ...
Text Solution
|
Find the mean - proportional of (a + b)^(2)" and " (a - b)^(2).
Text Solution
|